The entrance to a harbour consists of `50 m` gap between two points A and B such that B is due east of A. Outside the harbour there is a `8 km//hr` current flowing due east. A motor boat is located 300 m due south of A. Neglect size of the boat for answering following questions-
(a) Calculate the least speed `(V_(min))` that the motor boat must maintain to enter the harbour.
(b) Show that the course it must steer when moving at Vmin does not depend on the speed of the current.

Answer

(a) `sqrt((48)/(37)) km//hr`